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Finding the Fourth Proportional to 2,760.96, 3,808.22 and 1,909.83

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Solution

The fourth proportional to 2,760.96, 3,808.22 and 1,909.83 is: 2,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.96 : 3,808.22 = 1,909.83 : x
  2. Step 2: Convert to fraction form
    2,760.96/3,808.22 = 1,909.83/x
  3. Step 3: Cross multiply
    2,760.96x = 3,808.22 × 1,909.83
  4. Step 4: Simplify right side
    2,760.96x = 7,273,043.25
  5. Step 5: Solve for x
    x = 7,273,043.25/2,760.96
  6. Step 6: Final answer
    x = 2,634.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.